Gödel: Difference between revisions
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''The tao that can be described is not the eternal Tao. The name that can be spoken is not the eternal Name'' -Lao Tzu | |||
[[File:escher-drawing-hands.jpg|thumb|right]] | [[File:escher-drawing-hands.jpg|thumb|right]] | ||
[https://en.wikipedia.org/wiki/Kurt_G%C3%B6del Godel's] [https://en.wikipedia.org/wiki/G%C3%B6del%27s_incompleteness_theorems incompleteness theorems] are fundamental to understanding the limits of scientific and mathematical knowledge and the power of [[self-reference]]. It proves the Taoist saying by demonstrating that we can never fully determine what is true using the language of [[mathematics]]. | [https://en.wikipedia.org/wiki/Kurt_G%C3%B6del Godel's] [https://en.wikipedia.org/wiki/G%C3%B6del%27s_incompleteness_theorems incompleteness theorems] are fundamental to understanding the limits of scientific and mathematical knowledge and the power of [[self-reference]]. It proves the Taoist saying by demonstrating that we can never fully determine what is true using the language of [[mathematics]]. | ||
Revision as of 23:03, 21 January 2024
The tao that can be described is not the eternal Tao. The name that can be spoken is not the eternal Name -Lao Tzu
Godel's incompleteness theorems are fundamental to understanding the limits of scientific and mathematical knowledge and the power of self-reference. It proves the Taoist saying by demonstrating that we can never fully determine what is true using the language of mathematics.
Gödel, Escher, Bach should be considered required reading for a full understanding of metaculture.
View All References to Self-Reference
Here's a basic explanation of Gödel's incompleteness theorem if such a thing exists.
A free online course from MIT is available to help get the most out of this seminal work.
Technically this is based on another book by Hofstadter but it does a good job explaining a lot of the concepts of recursion and consciousness that are in GEB.